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3 years ago

If the null hypothesis is inside the confidence interval, then the decision was likely to ________ using hypothesis testing.

Mathematics

1 answer:

ololo11 [35]3 years ago

5 0

Answer:

B: Retain the null hypothesis

Step-by-step explanation:

In the relationship between the confidence interval and hypothesis, it is stated that:

When the confidence interval is constructed, all values that fall inside the interval are considered possible values for the parameter that we are estimating while values that fall outside the interval are rejected as they are considered not possible or realistic values.

Now, If the value of the parameter specified by the null hypothesis falls inside the given confidence interval, then we will fail to reject the null hypothesis at the corresponding significance level. However, If the value specified by the null hypothesis doesn't fall inside the given confidence interval, then the null hypothesis can be rejected at the corresponding significance level.

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For f(x) = 2x+3 which represents f(x) when x= 6? A.16 B.20 C.28 D.96

yawa3891 [41]

Answer:

Step-by-step explanation:

when x=6 plug it in to the equation and you would get 2(6)+3 which is 12+3 which is 15

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3 years ago

Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss

ANTONII [103]

Answer:

Step-by-step explanation:

if the ratio is 8:11 then 40:x

Cross multiply

8 40

11 x

8x=440

And divide by 8

x=55. She has 55 books

8 0

3 years ago

Factor. (6x+4) 3(2x+1) 3x + 2 2(3x+2) 2(x+2)

jok3333 [9.3K]

Answer:

2(3x+2) is your answer because you factor out 2. The number 2 is a factor of both 6 and 4 (2*3=6 and 2*2=4).

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3 years ago

A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength

irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

Let $\bar X$ = sample mean comprehensive strength

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean comprehensive strength = 5500 psi

$\sigma$ = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P( $\bar X$ > 4985 psi)

P( $\bar X$ > 4985 psi) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{4985-5500}{\frac{100}{\sqrt{9} } }$ ) = P(Z > -15.45) = P(Z < 15.45)

= 0.99999

Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.

4 0

4 years ago

Michael put the following items in his shopping basket

lesantik [10]

Answer:

c. $9

Step-by-step explanation:

$3.98 + $4.19 + $0.79 = $8.96

Round to the nearest whole number which would be 9

4 0

3 years ago